We present observations of the BL Lac object 1ES 0414+009 in the > 200 GeV gamma-ray band by the VERITAS array of Cherenkov telescopes . 1ES 0414+009 was observed by VERITAS between January 2008 and February 2011 , resulting in 56.2 hours of good quality pointed observations . These observations resulted in a detection of 822 events from the source corresponding to a statistical significance of 6.4 standard deviations ( 6.4 \sigma ) above the background . The source flux , showing no evidence for variability , is measured as ( 5.2 \pm 1.1 _ { stat } \pm 2.6 _ { sys } ) \times 10 ^ { -12 } photons cm ^ { -2 } s ^ { -1 } above 200 GeV , equivalent to approximately 2 \% of the Crab Nebula flux above this energy . The differential photon spectrum from 230 GeV to 850 GeV is well fit by a power law with an photon index of \Gamma = 3.4 \pm 0.5 _ { stat } \pm 0.3 _ { sys } and a flux normalization of ( 1.6 \pm 0.3 _ { stat } \pm 0.8 _ { sys } ) \times 10 ^ { -11 } photons cm ^ { -2 } s ^ { -1 } at 300 GeV . We also present multiwavelength results taken in the optical ( MDM ) , X-ray ( Swift -XRT ) , and GeV ( Fermi -LAT ) bands and use these results to construct a broadband spectral energy distribution ( SED ) . Modeling of this SED indicates that homogenous one-zone leptonic scenarios are not adequate to describe emission from the system , with a lepto-hadronic model providing a better fit to the data .